Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248k |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-2669383150448 = -1 · 24 · 72 · 237 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -6 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14988,715639] |
[a1,a2,a3,a4,a6] |
Generators |
[31:529:1] |
Generators of the group modulo torsion |
j |
-157216000/1127 |
j-invariant |
L |
3.3067447122991 |
L(r)(E,1)/r! |
Ω |
0.81349522760849 |
Real period |
R |
0.50810757702872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29624b1 2576a1 |
Quadratic twists by: -4 -23 |